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Finding the Fourth Proportional to 282,658.38, 390,067.29 and 161,799

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Solution

The fourth proportional to 282,658.38, 390,067.29 and 161,799 is: 223,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,658.38 : 390,067.29 = 161,799 : x
  2. Step 2: Convert to fraction form
    282,658.38/390,067.29 = 161,799/x
  3. Step 3: Cross multiply
    282,658.38x = 390,067.29 × 161,799
  4. Step 4: Simplify right side
    282,658.38x = 63,112,497,454.71
  5. Step 5: Solve for x
    x = 63,112,497,454.71/282,658.38
  6. Step 6: Final answer
    x = 223,281.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.